x+.04(6-x)=0.6(6)

Solution for x+.04(6-x)=0.6(6) equation:

Simplifying
x + 0.04(6 + -1x) = 0.6(6)
x + (6 * 0.04 + -1x * 0.04) = 0.6(6)
x + (0.24 + -0.04x) = 0.6(6)

Reorder the terms:
0.24 + x + -0.04x = 0.6(6)

Combine like terms: x + -0.04x = 0.96x
0.24 + 0.96x = 0.6(6)

Multiply 0.6 * 6
0.24 + 0.96x = 3.6

Solving
0.24 + 0.96x = 3.6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.24' to each side of the equation.
0.24 + -0.24 + 0.96x = 3.6 + -0.24

Combine like terms: 0.24 + -0.24 = 0.00
0.00 + 0.96x = 3.6 + -0.24
0.96x = 3.6 + -0.24

Combine like terms: 3.6 + -0.24 = 3.36
0.96x = 3.36

Divide each side by '0.96'.
x = 3.5

Simplifying
x = 3.5